6564016344172 has 144 divisors (see below), whose sum is σ = 14185486506240. Its totient is φ = 2644164969600.

The previous prime is 6564016344131. The next prime is 6564016344173. The reversal of 6564016344172 is 2714436104656.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is not an unprimeable number, because it can be changed into a prime (6564016344173) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1247672022 + ... + 1247677282.

It is an arithmetic number, because the mean of its divisors is an integer number (98510322960).

Almost surely, 2^{6564016344172} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6564016344172, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7092743253120).

6564016344172 is an abundant number, since it is smaller than the sum of its proper divisors (7621470162068).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

6564016344172 is a wasteful number, since it uses less digits than its factorization.

6564016344172 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10052 (or 10043 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 49.

The spelling of 6564016344172 in words is "six trillion, five hundred sixty-four billion, sixteen million, three hundred forty-four thousand, one hundred seventy-two".